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Finding the Fourth Proportional to 6,589.24, 9,883.86 and 2,890.60

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Solution

The fourth proportional to 6,589.24, 9,883.86 and 2,890.60 is: 4,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.24 : 9,883.86 = 2,890.60 : x
  2. Step 2: Convert to fraction form
    6,589.24/9,883.86 = 2,890.60/x
  3. Step 3: Cross multiply
    6,589.24x = 9,883.86 × 2,890.60
  4. Step 4: Simplify right side
    6,589.24x = 28,570,285.72
  5. Step 5: Solve for x
    x = 28,570,285.72/6,589.24
  6. Step 6: Final answer
    x = 4,335.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.